2530806379200 has 630 divisors, whose sum is σ = 10225243659708. Its totient is φ = 613525017600.

The previous prime is 2530806379183. The next prime is 2530806379259. The reversal of 2530806379200 is 29736080352.

2530806379200 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 8 + 0 + 637 + 9 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 15600907 + ... + 15762293.

Almost surely, 2^{2530806379200} is an apocalyptic number.

2530806379200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2530806379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5112621829854).

2530806379200 is an abundant number, since it is smaller than the sum of its proper divisors (7694437280508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2530806379200 is a wasteful number, since it uses less digits than its factorization.

2530806379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161443 (or 161408 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 2530806379200 in words is "two trillion, five hundred thirty billion, eight hundred six million, three hundred seventy-nine thousand, two hundred".